Answer:
5.39 × 10¹²
Explanation:
Multiply the coefficients.
7.7 × 7 = 53.9
===============
Multiply the exponential terms.
When you multiply exponential terms, you <em>add the exponent</em>s.
10⁵ × 10⁶ = 10⁽⁵⁺⁶⁾ = 10¹¹
10⁵ × 10⁶ = 10¹¹
===============
Multiply the products of the coefficients and the exponential terms.
Product = 53.9 × 10¹¹
However, the answer is <em>not in standard form</em>. It should have only one digit before the decimal point.
Product = 53.9 × 10¹¹ Multiply by 10/10
Product = 53.9 × 10¹¹ × 10/10 Distribute the 10s
Product = (53.9/10) × (10¹¹ × 10)
Product = 5.39 × 10¹²
===============
A scientific calculator does the operation for you automatically. The buttons may have different labels on your calculator, but the key sequence is usually something like
7.7 Exp 6 × 7 Exp 5 = 5.39 × 10¹²
